Question: Corrinna is a basketball player who makes 80% of her free throws. During one week, she shoots 30 free throws and makes 20.

(A) Assuming the success rate is constant and the free throws is independent, what is the probability that Corrinna will make exactly 20 of her next 30 free throws?

(B) Find an approximate 95% range for the number of free throws that Corrinna will usually make out of twelve attempts.

(C) In one game Corrinna made eight of twelve shots. Some fans think that Corrinna missed so many shots because the games that week were important and she was so nervous that it affected her ability. is this conclusion warranted? Explain your reasoning.

(D) Suppose that over the next 90 shots Corrinna made 60 of them. Does this information still support the claim that she is successful in 80% of her shots? Why?